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We study in this paper the problem of adaptive trajectory tracking control for a class of nonlinear systems with parametric uncertainties. We propose to use a modular approach, where we first design a robust nonlinear state feedback which…

Systems and Control · Computer Science 2015-09-28 Mouhacine Benosman , Amir-massoud Farahmand , Meng Xia

An important issue in model-based control design is that an accurate dynamic model of the system is generally nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Yuhan Liu , Pengyu Wang , Roland Tóth

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Contraction theory formulates the analysis of nonlinear systems in terms of Jacobian matrices. Although this provides the potential to develop a linear matrix inequality (LMI) framework for nonlinear control design, conditions are imposed…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Yu Kawano , Kenji Kashima

Tendon-Driven Continuum Robots (TDCRs) pose significant modeling and control challenges due to complex nonlinearities, such as frictional hysteresis and transmission compliance. This paper proposes a differentiable learning framework that…

Robotics · Computer Science 2026-04-29 Ziqing Zou , Ke Qiu , Fei Wang , Haojian Lu , Rong Xiong , Yue Wang

Due to the increasing complexity of technical systems, accurate first principle models can often not be obtained. Supervised machine learning can mitigate this issue by inferring models from measurement data. Gaussian process regression is…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Armin Lederer , Jonas Umlauft , Sandra Hirche

This paper considers a stochastic control framework, in which the residual model uncertainty of the dynamical system is learned using a Gaussian Process (GP). In the proposed formulation, the residual model uncertainty consists of a…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Marcel Menner , Karl Berntorp

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

Systems and Control · Computer Science 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

Reinforcement learning (RL) algorithms for real-world robotic applications need a data-efficient learning process and the ability to handle complex, unknown dynamical systems. These requirements are handled well by model-based and…

Robotics · Computer Science 2017-06-20 Yevgen Chebotar , Karol Hausman , Marvin Zhang , Gaurav Sukhatme , Stefan Schaal , Sergey Levine

Established techniques for simulation and prediction with Gaussian process (GP) dynamics often implicitly make use of an independence assumption on successive function evaluations of the dynamics model. This can result in significant error…

Machine Learning · Computer Science 2020-05-05 Lukas Hewing , Elena Arcari , Lukas P. Fröhlich , Melanie N. Zeilinger

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

Reinforcement Learning (RL) controllers have generated excitement within the control community. The primary advantage of RL controllers relative to existing methods is their ability to optimize uncertain systems independently of explicit…

Machine Learning · Computer Science 2021-12-07 Max Mowbray , Panagiotis Petsagkourakis , Ehecatl Antonio del Río Chanona , Dongda Zhang

Safety and tracking stability are crucial for safety-critical systems such as self-driving cars, autonomous mobile robots, industrial manipulators. To efficiently control safety-critical systems to ensure their safety and achieve tracking…

Robotics · Computer Science 2020-09-22 Lei Zheng , Jiesen Pan , Rui Yang , Hui Cheng , Haifeng Hu

We propose a learning-based trajectory tracking controller for autonomous robotic platforms whose motion can be described kinematically on $\mathrm{SE}(3)$. The controller is formulated in the dual quaternion framework and operates at the…

Robotics · Computer Science 2026-01-07 Omayra Yago Nieto , Alexandre Anahory Simoes , Juan I. Giribet , Leonardo Colombo

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

Applying model predictive control on embedded systems remains challenging due to the high computational cost of solving optimal control problems. To address this limitation, computationally efficient Gaussian process approximations of the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alexander Rose , Lukas Theiner , Rolf Findeisen

This paper presents Learning-based Autonomous Guidance with RObustness and Stability guarantees (LAG-ROS), which provides machine learning-based nonlinear motion planners with formal robustness and stability guarantees, by designing a…

Robotics · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung

One of the key benefits of model predictive control is the capability of controlling a system proactively in the sense of taking the future system evolution into account. However, often external disturbances or references are not a priori…

Optimization and Control · Mathematics 2019-12-03 Janine Matschek , Tim Gonschorek , Magnus Hanses , Norbert Elkmann , Frank Ortmeier , Rolf Findeisen

This work presents a methodology to design trajectory tracking feedback control laws, which embed non-parametric statistical models, such as Gaussian Processes (GPs). The aim is to minimize unmodeled dynamics such as undesired slippages.…

Robotics · Computer Science 2022-11-22 Luigi Freda , Mario Gianni , Fiora Pirri
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